Using approximations similar to the commonly used formulation which
describe the terrestrial Ferrel-cell dynamics [1]},
the leading order zonal mean zonal momentum equation may be written
as
\(\frac{\partial \bar{u}}{\partial t}+\frac{\partial }{\partial y}\left(\overline{u^{^{\prime }}v^{^{\prime }}}\right)-f\bar{v}=-F_{{\rm sink}},\) 
